Web shows that are worth checking?

pure pwnage

RWBY

A few that I would recommend are:
Chad Vader
The Guild
RWBY
VGHS (Video Game High School)

You can find all of the above mentioned on YouTube.
Wikepedia has also compiled a nice list of web series.

Online Gamer

Give "Journey Quest" a shot.

Some of the best have already been listed, but I'll list them again because they are really good.

1. RWBY - Got me into anime, surprisingly. I watched it all, then felt like something was missing from my life. I searched online for similar stuff, and someone recommended Angel Beats!... Watched it, and here I am now. :P
2. Video Game High School - Pretty cool webseries about competitive gaming. Has some fun references to videos games and stuff. (I AM THE LAAAW.)
3. Sync - A movie-length action/sci-fi webseries. Very professional for some independent movie-makers.
4. Animator vs. Animation - A four parts animated series about an animator fighting its animation. Hilarious and very creative.
5. Anything from Corridor Digital - Neat Youtube channel, they worked on Sync. Amazing visual effects.
6. Battlefield Friends (BFFs) - An animated series about a group of friends playing Battlefield. (PROMOOOOOOTED!)
7. The Senile Scribbles - Pretty similar to BFFs, except this is Skyrim.

That's all for now. Will update if I think of anything else.

Salad Fingers, Inferno Cop

My younger brother told me that RWBY is really good.